Asymptotic state of one-dimensional SOM at normal point density input passed through non-linear channel

Authors:
Ivo R. Draganov;Antoaneta A. Popova;Nikolay N. Neshov
Affiliations:
Radiocommunications and Videotechnologies Department, Technical University-Sofia, Sofia, Bulgaria;Radiocommunications and Videotechnologies Department, Technical University-Sofia, Sofia, Bulgaria;Radiocommunications and Videotechnologies Department, Technical University-Sofia, Sofia, Bulgaria
Venue:
ICCOMP'10 Proceedings of the 14th WSEAS international conference on Computers: part of the 14th WSEAS CSCC multiconference - Volume II
Year:
2010

Citing 3
Cited 0

On the stationary state of Kohonen's self-organizing sensory mapping

Biological Cybernetics
Self-Organizing Maps

Self-Organizing Maps
Asymptotic level density in topological feature maps

IEEE Transactions on Neural Networks

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper an analysis is presented concerning the asymptotic state of the one-dimensional self-organizing map (SOM) with finite grid in the case of normal point distribution input passed through non-linear channel at first. The SOM distortion measure is analyzed with its value found approximately. The results obtained are considered useful enough in wide variety of practical cases where fine tuning of the SOM is needed.